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Browse all PreAlgebra Problems of the Week
The PreAlgebra Problems are designed for those students who are consolidating and practicing their knowledge of basic mathematics skills and who are beginning to prepare for algebra. The problems cover approximately the same materials as the NCTM Standards for Grades 68.
Access to these problems requires a Membership.

A Holiday Gift for Grandmother Brown
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the cost of the dishwasher and the contribution from each of five children.
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Homerun Percentages
 Judy Ann Brown

PreAlgebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills.
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How Far in Space?
 Suzanne Alejandre

PreAlgebra, difficulty level 1. By the time the Space Shuttle Discovery had undocked from it in
August, 2005, how far
had the International Space Station traveled while orbiting the Earth?
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How Fast Is a Minute?
 Suzanne Alejandre

PreAlgebra, difficulty level 1. How many feet does the tip of the minute hand travel in an hour on the
clock on Philadelphia's City Hall Tower?
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How Old is Ms. Nelson?
 Judy Ann Brown

PreAlgebra, difficulty level 2. Ms. Nelson claims that she is three times as old as her little sister. However, six years ago she was five times as old as her sister was. How old is Ms. Nelson?
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How Wide Is My Garden?
 Judy Ann Brown

PreAlgebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
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Ian's Rides
 Annie Fetter, Ian Underwood, Stephen Weimar

PreAlgebra, difficulty level 4. Determine which graph best represents the mean average of the number
of miles Ian rode each ride.
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I Get A Kick Out Of Soccer!
 Judy Ann Brown

Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile?
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I'm a Groundhog?
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Using Suzanne's height, Phil's height, and Suzanne's shadow length, find Phil's shadow length.
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Inching Along Down the Football Field
 Terrel Trotter

Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch?
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Integer Game
 Suzanne Alejandre

PreAlgebra, difficulty level 1. Help Alisa pick a set of six cards to win the Integer Game.
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Integer Images
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Use the four equations to figure out which integers the quadrilateral
and the circle
represent.
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An Interesting Integer
 Judy Ann Brown

PreAlgebra, difficulty level 2. I'm thinking of a particular integer. It is a multiple of three, five, and seven. No digit occurs more than once. Can you find my number?
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It's A Secret
 Judy Ann Brown

PreAlgebra, difficulty level 2. In this puzzle, your job is to decode the secret message.
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January Sales
 Judy Ann Brown

PreAlgebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs.
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Join Us for a Quarterpound Burger
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Work with fractions and percents to help plan this cookout.
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Kate's Combination
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find Kate's locker combination using mathematical clues. Is there more than one possibility?
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Kaytee's Contest
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Use clues to figure out how much Kaytee's cows weigh.
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Kwae
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Determine the number of kwae that can be made.
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Label Shuffle
 Judy Ann Brown

PreAlgebra, difficulty level 3. There are three containers. Which one has the red marbles?
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Lee's Lawn Chair
 Lee & Suzanne Alejandre

PreAlgebra, difficulty level 3. Using the measurements given in the problem, determine the scale
factor used to create the larger chair.
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Lemonade Fun
 Maria Fung and her students

PreAlgebra, difficulty level 2. How many cups of each size lemonade did Jose and Nick sell?
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Lightning Strikes
 Judy Ann Brown

midpow, difficulty level 1. It takes five seconds for the sound of thunder to travel one mile.
How far away is the lightning if thirtytwo seconds pass between the
flash of the lightning bolt and the sound of the thunder?
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Lillian's Lines
 Lillian Ray and Molly Ribble

PreAlgebra, difficulty level 3. Students are asked to find how many square panes a path goes through
for a window of a
given size.
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Lincoln's Top Hat
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the dimensions of a rectangular sheet of paper used to make a paper top hat that has width and height the same.
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Locker Combinations
 Judy Ann Brown

PreAlgebra, difficulty level 4. In this counting problem you will need to determine the total number of possible locker combinations.
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Lost in Des Moines
 Judy Ann Brown

PreAlgebra, difficulty level 2. Calculate the speed of a car using given information.
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Lucky Lollipops
 Suzanne Alejandre & Maria Fung and her students

PreAlgebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method.
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Luscious Lemonade
 Judy Ann Brown

Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade?
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The Magic of Number 6174
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Have fun exploring this number magic.
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Making Money
 Alice Miller

PreAlgebra, difficulty level 3. How much money would you have by December 31, 1999, if you put 10 cents in the special "math" bank on January 1, 1999?
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Marathon Man
 Annie Fetter

PreAlgebra, difficulty level 2. Find the average of Dane Rauschenberg's marathon times if one of them
is disregarded.
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Math Club Lollipop Profits
 Judy Ann Brown

Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit.
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Math Club Ski Trip
 Judy Ann Brown

PreAlgebra, difficulty level 2. Mrs. Germain and her friend, Mrs. Granville, need your help to plan the shortest route to visit five local ski areas.
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Measuring a Mountain Bike
 Annie Fetter

PreAlgebra, difficulty level 3. Help Annie determine the circumference of her bike tire so that she
can accurately set up her
new cyclometer.
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Measuring Melons
 Suzanne Alejandre, Claire Mead

PreAlgebra, difficulty level 3. Students determine how much each type of fruit weighs.
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Membership Boom!
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the number of students involved in the Math Club, and the number of students in the school.
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Mikey and Lily Eat Cereal
 Stephen Weimar, Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 3. How much of a box of cereal do Mikey and Lily each have left?
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Milk Madness
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
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Milo's Mile
 Stephen Weimar, Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 2. Use data to describe how the number of minutes it takes Milo to run a
mile changes as his
speed changes.
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Mirror Musing
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is.
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Mixing Marbles
 Stephen Weimar

PreAlgebra, difficulty level 3. Find how many marbles each person had at the beginning.
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Money Maker?
 Leigh Nataro, Suzanne Alejandre

PreAlgebra, difficulty level 4. Would you rather earn $10 a week, or take a chance every week on the
money in this paper bag?
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The Most Appealing Nose Contest
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council.
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Movie Seating
 Maria Fung and her students

PreAlgebra, difficulty level 2. Use the clues to determine where Mom, Dad, Randy, Shelley, Noreen, and Alan sit at the movie theater.
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Mr. Carmel's Party Plan
 Judy Ann Brown

PreAlgebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes.
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Mr. Pearson's Statistics Lesson
 Judy Ann Brown

PreAlgebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data.
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My Almond Cookie Bake
 Lisa Lavelle

PreAlgebra, difficulty level 3. Convert this cookie recipe to feed the March Madness celebrators.
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The Name Game
 Judy Ann Brown

PreAlgebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30?
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New Home for Fibonacci and Fractal
 Judy Ann Brown

PreAlgebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15gallon aquarium.
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